Details

Time bar (total: 4.3s)

sample106.0ms

Algorithm
intervals
Results
53.0ms844×body80nan
17.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×add-sqr-sqrt
27×times-frac
22×add-cube-cbrt
20×sqrt-prod
associate-/l*
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
pow1 sqrt-div distribute-lft-out
associate-/r* div-inv
flip3-- flip-- associate-/l/
cbrt-undiv +-commutative rem-sqrt-square distribute-rgt-out frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add clear-num sum-log flip-+
Counts
3 → 78
Calls
3 calls:
5.0ms
(sqrt (- 1.0 (* x x)))
13.0ms
(/ (sqrt (- 1.0 (* x x))) x)
74.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series380.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(sqrt (- 1.0 (* x x)))
182.0ms
(/ (sqrt (- 1.0 (* x x))) x)
131.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify90.0ms

Counts
87 → 87

prune333.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s24359×body80nan
1.0s8000×body80valid